A quantitative SNR analysis of LFM signals in the linear canonical transform domain with Gaussian Windows

Wu Yang, Bing Zhao Li*, Qi Yuan Cheng

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

In this paper, the relationship between the linear canonical transform (LCT) and the Wigner-Ville distribution (WVD) is analyzed and proved. Based on this relationship, we present a quantitative signal-to-noise ratio (SNR) analysis of linear frequency modulated (LFM) signals in the LCT domain with Gaussian windows. The 3dB SNR definition is used. The SNR in LCT domain is compared with the SNRs in time domain, the short-time Fourier transform (STFT) domain and the pseudo-WVD domain, respectively, and come to a conclusion that the SNR in the LCT domain can achieve a significantly higher level than the SNRs in the other three domains. Some simulation results are presented to confirm the theoretical results.

Original languageEnglish
Title of host publicationProceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1426-1430
Number of pages5
ISBN (Electronic)9781479925650
DOIs
Publication statusPublished - 2013
Event2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013 - Shenyang, China
Duration: 20 Dec 201322 Dec 2013

Publication series

NameProceedings - 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013

Conference

Conference2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer, MEC 2013
Country/TerritoryChina
CityShenyang
Period20/12/1322/12/13

Keywords

  • Gaussian window
  • LFM signal
  • Linear canonical transform
  • SNR analysis

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